Biconservative surfaces in \mathbbS²×ℝ and ℍ²×ℝ

2025/04/30 by Dorel Fetcu, Fetcu, Dorel
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2504.21532

Abstract

We find the explicit local equations of biconservative surfaces with non-constant mean curvature in \mathbbS²×ℝ and ℍ²×ℝ, when the gradient of the mean curvature function is a principal direction.

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